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12892848 = 2431132377
BaseRepresentation
bin110001001011…
…101010110000
3220021000122220
4301023222300
511300032343
61140201040
7214405323
oct61135260
926230586
1012892848
117306651
124399180
132895507
1419d87ba
1511ea183
hexc4bab0

12892848 has 40 divisors (see below), whose sum is σ = 33615408. Its totient is φ = 4257792.

The previous prime is 12892843. The next prime is 12892861. The reversal of 12892848 is 84829821.

It is a super-2 number, since 2×128928482 = 332451059102208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12892843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4236 + ... + 6612.

Almost surely, 212892848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12892848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16807704).

12892848 is an abundant number, since it is smaller than the sum of its proper divisors (20722560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12892848 is a wasteful number, since it uses less digits than its factorization.

12892848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2495 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 12892848 is about 3590.6612204439. The cubic root of 12892848 is about 234.4856594598.

The spelling of 12892848 in words is "twelve million, eight hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2377 2712 4754 5424 7131 9508 14262 19016 28524 38032 57048 114096 268601 537202 805803 1074404 1611606 2148808 3223212 4297616 6446424 12892848